Finite-element formulation of a Jacobian-free solver for supersonic viscous flows on hybrid grids

Tools

Gao, Song and Habashi, Wagdi G. and Fossati, Marco and Isola, Dario and Baruzzi, Guido S.; (2017) Finite-element formulation of a Jacobian-free solver for supersonic viscous flows on hybrid grids. In: 55th AIAA Aerospace Sciences Meeting. AIAA SciTech Forum . American Institute of Aeronautics and Astronautics Inc, AIAA, USA, pp. 1-28. ISBN 9781624104473 (https://doi.org/10.2514/6.2017-0085)

[thumbnail of Gao-etal-AIAA-Aerospace-Sciences-Meeting-2017-Finite-element-formulation-of-a-jacobian-free-solver]
Preview
 Text. Filename: Gao_etal_AIAA_Aerospace_Sciences_Meeting_2017_Finite_element_formulation_of_a_jacobian_free_solver.pdf
Accepted Author Manuscript
Download (3MB)| Preview

Abstract

A parallel Jacobian-free solver for supersonic flows on unstructured hybrid meshes is proposed. An edge-based Finite Element formulation is used for spatial discretization with flow stabilized via either AUSM+-up or a Roe scheme. The Jacobian-free Newton-Krylov method is used as linear system solver and the lower-upper symmetric Gauss-Seidel method is used for matrix-free preconditioning. In the present formulation, second order approximations of spatial derivatives of the inviscid fluxes are introduced efficiently. Numerical results for Mach 1.93 flow past a sphere, Mach 4 flow past a waverider, and Mach 10.01 flow past a sphere, are presented.

ORCID iDs

Gao, Song, Habashi, Wagdi G., Fossati, Marco ORCID logoORCID: https://orcid.org/0000-0002-1165-5825, Isola, Dario and Baruzzi, Guido S.;
CORE (COnnecting REpositories)